+0

# solution set | x - 3 | < 7

0
63
5
+7059

| x - 3 | < 7
How to solve the inequality?
We are looking for the solution.
Please also specify the individual steps for the solution.

?

asinus  Sep 23, 2017
edited by asinus  Sep 23, 2017
Sort:

#1
+90538
+3

| x - 3 | < 7

The thing to notice here is that x-3 must be less than 7 units from 0 on the number line .. so...

-7 < x-3 < 7

-4 < x < 10

Melody  Sep 23, 2017
edited by Melody  Sep 23, 2017
edited by Melody  Sep 23, 2017
#2
+8763
+3

| x - 3 | < 7
How to solve the inequality?
We are looking for the solution.
Please also specify the individual steps for the solution.

Omi67  Sep 23, 2017
#4
+7059
+1

| x - 3 | < 7   We are looking for the solution.

LG   !

asinus  Sep 24, 2017
#5
+90538
0

Hi Rudi,

You might find this old post interesting too.

It is a visual representation of what I was trying to say.

it is

|3n|>15

This is saying that the distance of 3n from the origin must be more than 15.

Have a look at what I have done on the number line. :)

https://web2.0calc.com/questions/what-the-absolute-value-of-three-times-a-number-n-is-greater-than-15

Melody  Sep 24, 2017

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